A Class of Delay Differential Variational Inequalities

被引：27

作者：

Wang, Xing ^{[1
]}

Qi, Ya-wei ^{[1
]}

Tao, Chang-qi ^{[2
]}

Xiao, Yi-bin ^{[3
]}

机构：

[1] Jiangxi Univ Finance & Econ, Sch Informat Technol, Nanchang, Jiangxi, Peoples R China

[2] Jiangxi Univ Finance & Econ, Sch Stat, Nanchang, Jiangxi, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 172卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Delay differential variational inequality; Variational inequality; Dynamical system; Caratheodory weak solution; Algorithm;

D O I：

10.1007/s10957-016-1002-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In the paper, we introduce a class of delay differential variational inequalities consisting of a system of delay differential equations and variational inequalities. The existence conclusion of Carath,odory's weak solution for delay differential variational equalities is obtained. Furthermore, an algorithm for solving the delay differential variational inequality is shown, and the convergence analysis for the algorithm is given. Finally, a numerical example is given to verify the validity of the algorithm.

引用

页码：56 / 69

页数：14

共 20 条

[1]

[Anonymous], 1999, Network economics: A variational inequality approach

[2]

Bonsall F.F., 1962, Lectures on Some Fixed-point Theorems of Functional Analysis

[3] Differential variational inequality approach to dynamic games with shared constraints [J].

Chen, Xiaojun ;

Wang, Zhengyu .

MATHEMATICAL PROGRAMMING, 2014, 146 (1-2) :379-408

[4] CONVERGENCE OF REGULARIZED TIME-STEPPING METHODS FOR DIFFERENTIAL VARIATIONAL INEQUALITIES [J].

Chen, Xiaojun ;

Wang, Zhengyu .

SIAM JOURNAL ON OPTIMIZATION, 2013, 23 (03) :1647-1671

[5]

DERHEIDEN UA, 1979, J MATH BIOL, V8, P345

[6]

Friesz TL, 2007, NETWORK SCIENCE, NONLINEAR SCIENCE AND INFRASTRUCTURE SYSTEMS, P77

[7]

Friesz TL, 2010, INT SER OPER RES MAN, V135, P267, DOI 10.1007/978-0-387-72778-3_6

[8] Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter [J].

Gilsinn, DE .

NONLINEAR DYNAMICS, 2002, 30 (02) :103-154

[9]

Gwinner J., 2013, SYSTEM MODELING OPTI, V391, P85

[10] On a new class of differential variational inequalities and a stability result [J].

Gwinner, Joachim .

MATHEMATICAL PROGRAMMING, 2013, 139 (1-2) :205-221

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